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Unit Circle Rectification of the Minimum Variance Distortionless Response Beamformer
IEEE Journal of Oceanic Engineering ( IF 4.1 ) Pub Date : 2020-04-01 , DOI: 10.1109/joe.2018.2876584
Saurav R. Tuladhar , John R. Buck

The sample matrix inversion (SMI) beamformer implements Capon's minimum variance distortionless (MVDR) beamforming using the sample covariance matrix (SCM). In a snapshot limited environment, the SCM is poorly conditioned resulting in a suboptimal performance from the SMI beamformer. Imposing structural constraints on the SCM estimate to satisfy known theoretical properties of the ensemble MVDR beamformer mitigates the impact of limited snapshots on the SMI beamformer performance. Toeplitz rectification and bounding the norm of weight vector are common approaches for such constraints. This paper proposes the unit circle rectification technique which constrains the SMI beamformer to satisfy a property of the ensemble MVDR beamformer: for narrowband planewave beamforming on a uniform linear array, the zeros of the MVDR weight array polynomial must fall on the unit circle. Numerical simulations show that the resulting unit circle MVDR (UC MVDR) beamformer frequently improves the suppression of both discrete interferers and white background noise compared to the classic SMI beamformer. Moreover, the UC MVDR beamformer is shown to suppress discrete interferers better than the MVDR beamformer diagonally loaded to maximize the signal-to-interference-plus-noise ratio.

中文翻译:

最小方差无失真响应波束形成器的单位圆校正

样本矩阵求逆 (SMI) 波束成形器使用样本协方差矩阵 (SCM) 实现 Capon 的最小方差无失真 (MVDR) 波束成形。在快照受限的环境中,SCM 条件不佳,导致 SMI 波束成形器的性能欠佳。对 SCM 估计施加结构约束以满足集合 MVDR 波束成形器的已知理论特性,减轻了有限快照对 SMI 波束成形器性能的影响。Toeplitz 校正和限制权重向量的范数是此类约束的常用方法。本文提出了单位圆整流技术,该技术约束 SMI 波束成形器以满足集合 MVDR 波束成形器的特性:对于均匀线性阵列上的窄带平面波波束成形,MVDR 权重数组多项式的零点必须落在单位圆上。数值模拟表明,与经典的 SMI 波束形成器相比,由此产生的单位圆 MVDR (UC MVDR) 波束形成器经常改进对离散干扰和白背景噪声的抑制。此外,UC MVDR 波束成形器显示出比对角加载的 MVDR 波束成形器更好地抑制离散干扰,以最大化信号干扰加噪声比。
更新日期:2020-04-01
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